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Finding the Fourth Proportional to 1,601.46, 2,397.51 and 1,447.74

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Solution

The fourth proportional to 1,601.46, 2,397.51 and 1,447.74 is: 2,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.46 : 2,397.51 = 1,447.74 : x
  2. Step 2: Convert to fraction form
    1,601.46/2,397.51 = 1,447.74/x
  3. Step 3: Cross multiply
    1,601.46x = 2,397.51 × 1,447.74
  4. Step 4: Simplify right side
    1,601.46x = 3,470,971.13
  5. Step 5: Solve for x
    x = 3,470,971.13/1,601.46
  6. Step 6: Final answer
    x = 2,167.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.